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Finding the Fourth Proportional to 206,658.34, 285,115.14 and 135,079.66

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Solution

The fourth proportional to 206,658.34, 285,115.14 and 135,079.66 is: 186,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,658.34 : 285,115.14 = 135,079.66 : x
  2. Step 2: Convert to fraction form
    206,658.34/285,115.14 = 135,079.66/x
  3. Step 3: Cross multiply
    206,658.34x = 285,115.14 × 135,079.66
  4. Step 4: Simplify right side
    206,658.34x = 38,513,256,172.05
  5. Step 5: Solve for x
    x = 38,513,256,172.05/206,658.34
  6. Step 6: Final answer
    x = 186,361.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.